Sofia Eriksson: A dual consistent finite difference method with narrow stencil second derivative operators
Time: Thu 2017-11-02 14.15 - 15.00
Location: Room F11, Lindstedtsvägen 22, våningsplan 2, F-huset, KTH Campus.
Participating: Sofia Eriksson, University of Darmstadt
Abstract:
We study the numerical solutions of time-dependent systems of partial differential equations, focusing on the implementation of boundary conditions. The numerical method considered is a finite difference scheme constructed by high order summation by parts operators, combined with a boundary procedure using penalties (SBP-SAT). Recently it was shown that SBP-SAT finite difference methods can yield superconvergent functional output if the boundary conditions are imposed such that the discretization is dual consistent. We generalize these results so that they include a broader range of boundary conditions and penalty parameters. The results are also generalized to hold for narrow-stencil second derivative operators. The derivations are supported by numerical experiments.